An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?
True False
Answer: 10
Step-by-step explanation:
25 ÷ 2.5 = 10
10 gigabytes
AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth foot, find the direct distance between Jalen and the entrance.
Answer:
131.58 feet
Step-by-step explanation:
Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).
So, we find the distance, d between the Ferris wheel and the swing using
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).
Now (x₁, y₁) = (95, 156) and (x₂, y₂) = (-23, 124)
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(-23 - 95)² + (124 - 156)²]
d = √[(-118)² + (-68)²]
d = √[13924 + 4624]
d = √18548
d = 136.191 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet
We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use
d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
Now (x₁, y₁) = (0, 0) and (x₂, y₂) = (95, 156)
So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
d" = √[(95 - 0)² + (156 - 0)²]
d" = √[95² + 156²]
d" = √[9,025 + 24,336]
d" = √33,361
d" = 182.65 feet
Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel = d" - d'
= 182.65 feet - 51.07 feet
= 131.58 feet
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
If c varies diráctly as (1 + 1) and c= 8, when r = 3, calculate the value ofr when c= 20.
(4marks)
c = k(r + 1)
8 = k(3 + 1)
8 = 4k
8/4 = k
2 = k
c=2(r + 1)
When c = 20, then
20 = 2(r + 1)
20 = 2r + 2
20 - 2 = 2r
18 = 2r
18/2 = r
9 = r
Therefore, the value of r is 9 when c is 20.
how many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repeats are possible?
Answer:
53
Step-by-step explanation:
5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats
[tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
Number of arrangementsGiven that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].
Number of digits [tex]=\boldsymbol{5}[/tex]
With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.
Therefore,
Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]
[tex]=\boldsymbol{125}[/tex]
So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.
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Y'all I need major help! This is due soon!! Just match up the points with an equation.
Write an equation of the line that passes through the given point and has the given slope, m.
1.(5,-2); m=4 2.(7,-2); m=2 3.(-3,-5); m=-3 4.(-8,-2); m=4 5.(0,0); m=1
y=-3x-14 y=2x-16 y=x y=4x+30 y=4x-22
what is the slope of y = -4x - 7
Answer:
-4
Step-by-step explanation:
Slope intercept form is
-y = Mx + b
Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation:
You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.
1.The ratio of the perimeters (Triangle A to Triangle B) is 14.
2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.
3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.
4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.
5.There is not enough information to make any of the conclusions above.
Answer:
5
Step-by-step explanation:
there is not enough info to because we do not have the detentions are the difference of triangle A or B
Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget?
WILL PICK THE BRAINLEST.
Elvira, the cafeteria manager, has just received a shipment of new trays with the school logo prominently displayed in the middle of the tray. After unloading 4 cartons of trays in the pizza line, she realizes that students are arriving for lunch and she will have to wait until lunch is over before unloading the remaining cartons. The new trays are very popular and in just a couple of minutes 24 students have passed through the pizza line and are showing off the school logo on the trays. At this time, Elvira decides to divide the remaining trays in the pizza line into 3 equal groups so she can also place some in the salad line and the sandwich line, hoping to attract students to the other lines. After doing so, she realizes that each of the three serving lines has only 12 of the new trays. "That's not many trays for each line. I wonder how many trays there were in each of the cartons I unloaded?"
Help the cafeteria manager answer her question using the data in the story about each of the actions she took. Explain how you arrive at your solution.
Answer:
im willing to bet that there is 3 in each carton
(just a guess for the points also theres no multiple choice?)
The quantity of trays that were in each of the cartons the manager unloaded was 12 trays.
How many trays there were in each of the cartons I unloaded?To determine the quantity of trays in each carton, we need to analyze the given information step by step:
We know that 24 students have passed through the pizza line and received trays with the school logo.The remaining trays were divided into three equal groups for the salad line, sandwich line, and pizza line.Each serving line ended up with only 12 new trays.From these points, we can deduce the following:
Since 24 students passed through the pizza line, and each student received one tray, this means that 24 trays were taken from the initial shipment.After 24 trays were taken, an equal number of trays were distributed to the salad line, sandwich line, and the remaining trays were kept in the pizza line.Each serving line ended up with 12 new trays. Since the trays were divided equally among the three lines, each line received the same number of trays.Now, let's solve for the number of trays in each carton.
Let's assume that the number of trays in each carton is "x."
We know that 24 trays were taken initially, and each serving line ended up with 12 trays. So, we can set up the equation:
24 + 12 + 12 + 12 = 4x
48 = 4x
Dividing both sides of the equation by 4:
12 = x
Therefore, there were 12 trays in each of the cartons that were unloaded.
To summarize, each carton that Elvira unloaded contained 12 trays.
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NEED HELP ASAP PLEASE!!!
An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answer:
a) 323 kph with a directional bearing of S 22° E
Step-by-step explanation:
to find the ground speed:
just do the pythagorean theorem.
c²=300²+120²
c²=104400
c=323
to find the directional bearing:
use the law of sines!
sin(90)/323 = sin(θ)/120
(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)
cross multiply:
120sin90=323sin(θ)
divide 323 on both sides:
sin(θ)=0.3715
use inverse sin to find out degree measure:
sin⁻¹(0.3715)=21.8
rounds up to 22.
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.
To find the ground speed of the plane, we need to know what a vector is
What is a vector?
A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and
y = -300 kph.
So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the plane
Its direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.
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Help I don’t understand this
Understand What?
◑︿◐::>_<::
Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
59.9%
Sorry I don’t have time to explain in the middle of an exam
The rate of growth needs to be 59.9%.
The formula used to determine the future value of an investment when interest is compounded continuously is:
FV = A x [tex]e^{r}[/tex] x N
A= amounte = 2.7182818 N = number of years r = interest rateFV = future value$320,000 = $16,000 x [tex]e^{r}[/tex] x 5
Divide both sides by $16,000
20 = 5[tex]e^{r}[/tex]
Take the In of both sides
In(20) = 5r
Divide both sides by 5
r = 59.9%
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PLEASE HELP MEEEEE THIS IS SO HARDDD
Answer:
B and $684
Step-by-step explanation:
B, because wednesday is three days after sunday so 4 times 3 because she walks 4 more laps each day until saturday. Add the 24 laps she already walks 4(3)=12+24=36
By saturday she would've walked 48 laps, so 48 times 3 for the 3 dollars each lap. 48(3)=144 now u have to find the other days so the equation you would use is 3(24 + 4x), x for the day until saturday. 3(24+4(1))=3(28)=84,just do that for each day and then add all them together because the question asked by the end of the week, saturday, how much money so yea. 84+96+108+120+132+144=684
(honestly u could just keep adding 12 to the previous number as that's what it's increasing by.) haha rlly hope I'm not wrong on the second one. Have a nice day!
what is 1.5555 as a simplified fraction.
Answer:
1 5555/10000
Step-by-step explanation:
One plus five thousand, five hundred and fifty-five all over 10000.
Answer:
[tex]\frac{311}{200}[/tex]
Step-by-step explanation:
1.5555
=[tex]\frac{15555}{10000}[/tex]
=[tex]\frac{311}{200}[/tex] (dividing numerator and denominator by 5)
3 − 3k + 7k = 5b find the equation for k
Answer:k=5b/4 - 3/4
Step-by-step explanation:
Answer:
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Step-by-step explanation:
-3k + 7k = 5b - 3
4k = 5b - 3
[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]
Write the slope-intercept form of the equation of the line through the point (-1,-5) with a slope of 5/6.
Answer:
5/6x+4 1/6=y
Step-by-step explanation:
The equation to find a slope-intercept is mx+b=y
m=slope
x=x coordinates
y=y coordinates
b= y intercept
m=5/6
x=-1
y=-5
b=4 1/6
Y intercept:
5/6(-1)+b=-5
-5/6+b=-5
b=4 1/6
However, it asks for an equation of the line, not (-1,-5), so we only need to write m and b, but not x and y.
So: 5/6x+4 1/6=y
Hope this helps!
PLease help me for my homework hahaqhahahahahhahaha please
Answer
Step-by-step explanation:
rise over run so it'd be 3/3 positive or y= 3x-3
128 pounds of dog food for 16 dogs
Answer:
8
Step-by-step explanation:
128/6=8
Answer:
8.
divide 128 by 16 and its ^
PLEASE HELP ME
What is the simplified form of
the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
Write 3 numbers between 1.15 and 1.16 that equal 1.15 when rounded to the nearest hundredth
can you help me with sas and sss congruent criteria please?
Abe is buying wrapping paper.
He is shopping for the best deal.
Drag the rolls of wrapping paper in order from the least to the greatest unit cost in dollars per square foot.
red 12.5 square feet for $1.79
blue 40 square feet for $5.29
green 50 square feet for $8.49
orange 60 square feet for $6.00
Answer:
So you need to compute all the rates to see which is the best deal.
$1.79/12.5ft^2=$0.1432 per ft^2
$5.29/40ft^2=$0.13225 per ft^2
$8.49/50ft^2=$0.1698 per ft^2
$6/60ft^2=$0.10 per ft^2
So the last option is the cheapes per square foot and thus is the best deal. Ordered from least to greatest.
Sherbert, blue, red, and green
Step-by-step explanation:
hope this helps
Answer:
The order goes Orange, Blue, Red, and Green
Step-by-step explanation:
By dividing the total cost by the amount of square feet, you get the unit value for the wrapping paper per square foot.
Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).
Answer:
[tex]y=6x+43[/tex]
Step-by-step explanation:
We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
Substitute:
[tex]y-1=6(x-(-7))[/tex]
Simplify:
[tex]y-1=6(x+7)[/tex]
Distribute:
[tex]y-1=6x+42[/tex]
Add 1 to both sides. Hence, our equation is:
[tex]y=6x+43[/tex]
8(-4a + 8b) = 240please
Answer:
= -32a+64b
Step-by-step explanation:
thats the answer
Abby earned $56 in 7 hours at her job today. She wants to know how much she could earn tomorrow if she works 34 hours at the same hourly rate.
How much will Rachel earn in 34 hours? please help me !!!
Answer:
It will be $85, 34÷ 4
will give you 8.5 then you multiply it by 10,× 10=85
Answer:
272
Step-by-step explanation:
56:7=8 (she earns 8$ in 1 hour)
8×34=272
Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9
Answer: B. 3/6
Step-by-step explanation:
The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.
please help me!
Decrease £40 by 10%
Answer:
36
Step-by-step explanation:
40 * .10 = 4
40-4 = 36